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首页> 外文期刊>International Journal of Naval Architecture and Ocean Engineering >Numerical procedure for the vibration analysis of arbitrarily constrained stiffened panels with openings
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Numerical procedure for the vibration analysis of arbitrarily constrained stiffened panels with openings

机译:带孔的任意约束加劲板振动分析的数值程序

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ABSTRACT A simple and efficient vibration analysis procedure for stiffened panels with openings and arbitrary boundary conditions based on the assumed mode method is presented. Natural frequencies and modes are determined by solving an eigenvalue problem of a multi-degree-of-freedom system matrix equation derived by using Lagrange's equations of motion, where Mindlin theory is applied for plate and Timoshenko beam theory for stiffeners. The effect of stiffeners on vibration response is taken into account by adding their strain and kinetic energies to the corresponding plate energies whereas the strain and kinetic energies of openings are subtracted from the plate energies. Different stiffened panels with various opening shapes and dispositions for several combinations of boundary conditions are analyzed and the results show good agreement with those obtained by the finite element analysis. Hence, the proposed procedure is especially appropriate for use in the preliminary design stage of stiffened panels with openings.
机译:摘要提出了一种基于假设模式方法的,具有开口和任意边界条件的加筋板的简单有效的振动分析程序。通过解决使用拉格朗日运动方程式导出的多自由度系统矩阵方程式的特征值问题来确定固有频率和模态,其中,将Mindlin理论应用于板,将Timoshenko梁理论应用于加劲肋。通过将加劲肋的应变和动能加到相应的板能上,可以考虑加劲肋对振动响应的影响,而从板能中减去开口的应变和动能。分析了几种不同边界条件组合的具有不同开口形状和布置的加劲板,其结果与有限元分析的结果吻合良好。因此,建议的程序特别适合在带有开口的加劲板的初步设计阶段使用。

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